Simplify \sqrt{ (3)/(8) }

Question

Simplify

`\sqrt{ (3)/(8) }`

Answer 1

B (√6)/4

Explanation:

The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

`\displaystyle\sqrt{(3)/(8)}=\sqrt{(3\cdot 2)/(8\cdot 2)}\\\\=\sqrt{(6)/(16)}=(√(6))/(√(16))\\\\=(√(6))/(4)`

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Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.